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arXiv 1902.07577physics.flu-dyn
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毛细管纤维束模型中两相流的有效流变性

Effective rheology of two-phase flow in a capillary fiber bundle model

Subhadeep Roy, Alex Hansen, Santanu Sinha

摘要:

本文研究了两相流在平行毛细管束中的有效流变特性。每个管的直径沿其长度变化,相应的毛细管阈值压力被认为是随机分布的均匀概率分布。我们证明,通过分析计算,从线性达西制度的过渡到一个非线性的行为发生,而降低压降$ΔP$,其中总流量$\langle Q \rangle$变化与$ΔP$的指数$2$。当在阈值分布中引入较低的截止值$P_m$时,非线性状态的该指数改变。我们分析表明,在$ΔP$接近$P_m$的极限下,流速缩放为$\langle Q \rangle \sim (|ΔP|-P_m)^{3/2}$。我们还提供了一些数值结果来支持我们的分析结果。

英文摘要:

We investigate the effective rheology of two-phase flow in a bundle of parallel capillary tubes carrying two immiscible fluids under an external pressure drop. The diameter of each tube varies along its length and the corresponding capillary threshold pressures are considered to be distributed randomly according to a uniform probability distribution. We demonstrate through analytical calculations that a transition from a linear Darcy regime to a non-linear behavior occurs while decreasing the pressure drop $ΔP$, where the total flow rate $\langle Q \rangle$ varies with $ΔP$ with an exponent $2$. This exponent for the non-linear regime changes when a lower cut-off $P_m$ is introduced in the threshold distribution. We demonstrate analytically that, in the limit where $ΔP$ approaches $P_m$, the flow rate scales as $\langle Q \rangle \sim (|ΔP|-P_m)^{3/2}$. We have also provided some numerical results in support to our analytical findings.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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